書目名稱 | The Discrete Nonlinear Schr?dinger Equation |
副標(biāo)題 | Mathematical Analysi |
編輯 | Panayotis G. Kevrekidis |
視頻video | http://file.papertrans.cn/908/907697/907697.mp4 |
概述 | First book on nonlinear Schr?dinger equation.Systematical treatment and derivation of the nonlinear Schr?dinger equation.Establishes connections to the application of this theory to spacial lattice di |
叢書名稱 | Springer Tracts in Modern Physics |
圖書封面 |  |
描述 | .This book constitutes the first effort to summarize a large volume of results obtained over the past 20 years in the context of the Discrete Nonlinear Schr?dinger equation and the physical settings that it describes. It contains an introduction to the model, its systematic derivation and its connection to applications, a subsequent analysis of the existence and the stability of fundamental nonlinear structures in 1, 2 and even 3 spatial lattice dimensions. It also covers the case of defocusing nonlinearities, the modulational instabilities of plane wave solutions, and the extension to multi-component lattices. In addition, it?features a final chapter on special topics written by a wide array of experts in the field, addressing through short reviews,?areas of particular recent interest.. |
出版日期 | Book 2009 |
關(guān)鍵詞 | DNLS; Nonlinear science; Solitary waves; calculus; differential equation; numerical methods |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-540-89199-4 |
isbn_softcover | 978-3-642-24243-4 |
isbn_ebook | 978-3-540-89199-4Series ISSN 0081-3869 Series E-ISSN 1615-0430 |
issn_series | 0081-3869 |
copyright | Springer-Verlag Berlin Heidelberg 2009 |